In the following, we will give some necessary definitions
and mathematical preliminaries of fractional calculus
theory which are used further in this paper. For more
details, one can consult [1]} and [2]}. The concept of a convex function was first introduced to elementary calculus when discussing necessary conditions for a minimum or maximum value of a differentiable function. The convex function was later recognized as an active area of study by [3]}.
In modern studies, a convex function is considered as a link between analysis and geometry, which makes it a powerful tool for solving many practical problems.
